Question

If one zero of 2x^2 -3x +K is the reciprocal to the other, then find the value of K.

Answer 1

here is the answer.
I hope its helpful :)

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

Given:

• A quadratic equation:2x² - 3x + k
• Also given one of the zeros of 2x² - 3x + k is reciprocal to the other.

Need To Find:

• The value of k is = ?

ExPlanation:

Let us assume that one zeros of the given quadratic equationbe(2x² - 3x + k) be α

Hence the other zero is reciprocal of the zero. So the other zero is 1/α

As per the given equation

a = 2 b = -3 c = k

So, α x 1/α = c/a

1 = k/2

k = 2

• The value of k is 2.